GCD of 488, 234, 88, 726 Calculator

Given Input numbers are 488, 234, 88, 726

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 488, 234, 88, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 234, 88, 726 is 2.

Therefore, GCD of numbers 488, 234, 88, 726 is 2

Given Input Data is 488, 234, 88, 726

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 726 is 2 x 3 x 11 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(488, 234) = 57096

GCD(488, 234) = ( 488 x 234 ) / 57096

GCD(488, 234) = 114192 / 57096

GCD(488, 234) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

GCD of 488, 234, 88, 726 is 2

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• GCD of 111, 127, 75, 797
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• GCD of 460, 786, 42, 138

1. What is the GCD of 488, 234, 88, 726?

GCD of 488, 234, 88, 726 is 2

2. Where do I get the detailed procedure to find GCD of 488, 234, 88, 726?

You can find a detailed procedure to find GCD of 488, 234, 88, 726 on our page.

3. How to find GCD of 488, 234, 88, 726 on a calculator?

You can find the GCD of 488, 234, 88, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.